What is the Greatest Common Factor of 77008 and 77014?
Greatest common factor (GCF) of 77008 and 77014 is 2.
GCF(77008,77014) = 2
We will now calculate the prime factors of 77008 and 77014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77008 and 77014.
How to find the GCF of 77008 and 77014?
We will first find the prime factorization of 77008 and 77014. After we will calculate the factors of 77008 and 77014 and find the biggest common factor number .
Step-1: Prime Factorization of 77008
Prime factors of 77008 are 2, 4813. Prime factorization of 77008 in exponential form is:
77008 = 24 × 48131
Step-2: Prime Factorization of 77014
Prime factors of 77014 are 2, 7, 5501. Prime factorization of 77014 in exponential form is:
77014 = 21 × 71 × 55011
Step-3: Factors of 77008
List of positive integer factors of 77008 that divides 77008 without a remainder.
1, 2, 4, 8, 16, 4813, 9626, 19252, 38504
Step-4: Factors of 77014
List of positive integer factors of 77014 that divides 77008 without a remainder.
1, 2, 7, 14, 5501, 11002, 38507
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77008 and 77014. The biggest common factor number is the GCF number.
So the greatest common factor 77008 and 77014 is 2.
Also check out the Least Common Multiple of 77008 and 77014
Related Greatest Common Factors of 77008
- GCF of 77008 and 77012
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- GCF of 77008 and 77021
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Related Greatest Common Factors of 77014
- GCF of 77014 and 77018
- GCF of 77014 and 77019
- GCF of 77014 and 77020
- GCF of 77014 and 77021
- GCF of 77014 and 77022
- GCF of 77014 and 77023
- GCF of 77014 and 77024
- GCF of 77014 and 77025
- GCF of 77014 and 77026
- GCF of 77014 and 77027
- GCF of 77014 and 77028
- GCF of 77014 and 77029
- GCF of 77014 and 77030
- GCF of 77014 and 77031
- GCF of 77014 and 77032
- GCF of 77014 and 77033
- GCF of 77014 and 77034